To determine which shape has a greater area, we can calculate the area of each shape using the following formulas:
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Area of a parallelogram: \[ \text{Area} = \text{base} \times \text{height} \] For the parallelogram: \[ \text{Area} = 2 , \text{cm} \times 9 , \text{cm} = 18 , \text{cm}^2 \]
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Area of a triangle: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] For the triangle: \[ \text{Area} = \frac{1}{2} \times 6 , \text{cm} \times 6 , \text{cm} = \frac{1}{2} \times 36 , \text{cm}^2 = 18 , \text{cm}^2 \]
Now we compare the areas:
- Area of the parallelogram: \( 18 , \text{cm}^2 \)
- Area of the triangle: \( 18 , \text{cm}^2 \)
Both shapes have the same area.
Thus, the correct statement is: Both shapes have the same area.
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